5.6-5.7 Quadratic Formula/Complete Square (Lee 24-25)

Front

What is the Quadratic Formula?

Back

Front

Identify the values of a, b, and c in the equation: 2x^2 + 3x - 5 = 0.

Back

a = 2, b = 3, c = -5.

Front

Solve using the Quadratic Formula: x^2 - 4x - 5 = 0

Back

x = 5 and x = -1.

Front

What does the discriminant (b^2 - 4ac) tell us about a quadratic equation?

Back

The discriminant indicates the nature of the roots: if > 0, two real solutions; if = 0, one real solution; if < 0, no real solutions.

Front

What is the process of completing the square?

Back

Front

Solve using the Quadratic Formula: 3x^2 + 6x + 2 = 0

Back

x = -1 and x = -rac{2}{3}.

Front

What is the vertex form of a quadratic equation?

Back

Front

Determine the vertex of the quadratic function: y = 2x^2 + 4x + 1.

Back

The vertex is at (-1, -1).

Front

What is the axis of symmetry for a quadratic equation?

Back

Front

Solve using the Quadratic Formula: x^2 + 2x + 1 = 0

Back

x = -1 (double root).